1287/1280: Difference between revisions

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Created page with "{{Infobox Interval | Name = catadictma | Color name = 3o1og1, thologu 1sn, <br>Thologu comma | Comma = yes }} '''1287/1280''', the '''catadictma''', is a 13-limit small..."
 
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'''1287/1280''', the '''catadictma''', is a [[13-limit]] [[small comma]]. It is the amount by which a stack consisting of [[16/11]] and [[16/13]] falls short of [[9/5]]. By tempering it out is defined the '''catadictmic temperament''', which enables the [[catadictmic chords]].
'''1287/1280''', the '''catadictma''', is a [[13-limit]] [[small comma]]. It is the amount by which a stack consisting of [[16/11]] and [[16/13]] falls short of [[9/5]]. It can be factored into simpler commas as ([[351/350]])([[385/384]]), or as ([[225/224]])([[1001/1000]]). By tempering it out is defined the '''catadictmic temperament''', which enables the [[catadictmic chords]].


== See also ==
== See also ==

Revision as of 08:38, 19 August 2023

Interval information
Ratio 1287/1280
Factorization 2-8 × 32 × 5-1 × 11 × 13
Monzo [-8 2 -1 0 1 1
Size in cents 9.441892¢
Name catadictma
Color name 3o1og1, thologu 1sn,
Thologu comma
FJS name [math]\displaystyle{ \text{d1}^{11,13}_{5} }[/math]
Special properties reduced
Tenney norm (log2 nd) 20.6517
Weil norm (log2 max(n, d)) 20.6596
Wilson norm (sopfr(nd)) 51
Comma size small
Open this interval in xen-calc

1287/1280, the catadictma, is a 13-limit small comma. It is the amount by which a stack consisting of 16/11 and 16/13 falls short of 9/5. It can be factored into simpler commas as (351/350)(385/384), or as (225/224)(1001/1000). By tempering it out is defined the catadictmic temperament, which enables the catadictmic chords.

See also